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Number of sequences of n distinct positive integers whose Gilbreath transform is (1, 1, ..., 1).
4

%I #5 May 13 2023 13:22:36

%S 1,1,1,1,2,7,40,355,4819,99242,3049155,138762035

%N Number of sequences of n distinct positive integers whose Gilbreath transform is (1, 1, ..., 1).

%e For n = 5, the a(5) = 7 sequences are:

%e (1, 2, 4, 6, 8),

%e (1, 2, 4, 6, 10),

%e (1, 2, 4, 8, 6),

%e (1, 2, 4, 8, 10),

%e (1, 2, 4, 8, 12),

%e (1, 2, 4, 8, 14),

%e (1, 2, 4, 8, 16).

%Y Cf. A080839 (increasing sequences), A363002 (nondecreasing sequences), A363003, A363005 (distinct integers).

%K nonn,more

%O 0,5

%A _Pontus von Brömssen_, May 13 2023